To determine the cost to carpet Jean's bedroom, we need to follow these steps:

1. Calculate the area of the bedroom in square feet:

   The bedroom is 11 feet by 11 feet, so: $\text{Area in square feet} = 11 \times 11 = 121 \text{ square feet}$

2. Convert the area from square feet to square yards:

   Since there are 9 square feet in a square yard, we convert the area: $\text{Area in square yards} = \frac{121 \text{ square feet}}{9} \approx 13.44 \text{ square yards}$

3. Calculate the total cost:

   The cost per square yard is $28.80. So, the total cost is: $\text{Total cost} = 13.44 \times 28.80 \approx 387.07$

Therefore, the total cost to carpet Jean's room is approximately $387.07.

Would you like to explore more details or have any questions?

Here are 5 related questions you might consider:

1. How would the cost change if the carpet cost increased to $32.50 per square yard?
2. What would the cost be if the bedroom was 12 feet by 12 feet?
3. How would the cost change if Jean’s bedroom had an additional 5 feet by 5 feet walk-in closet?
4. What is the cost difference if the carpet installation fee was an additional $2 per square yard?
5. How would the total cost change if Jean decided to only carpet a portion of the room?

Tip: Always convert measurements to the same units before performing calculations, especially in area and cost estimations.